Outline
DOI: 10.1112/plms.70229 ISSN: 0024-6115
Jost solutions and direct scattering for the continuum Calogero–Moser equation
Rupert L. Frank, Larry ReadAbstract
We propose an inverse scattering transform for the continuum Calogero–Moser equation. We give a rigorous treatment of the direct scattering problem by constructing the associated Jost solutions and introducing a distorted Fourier transform, as well as deriving trace formulas for the eigenvalues of the Lax operator.
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